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Finding the Fourth Proportional to 12,189.82, 18,284.74 and 4,790.24

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Solution

The fourth proportional to 12,189.82, 18,284.74 and 4,790.24 is: 7,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.82 : 18,284.74 = 4,790.24 : x
  2. Step 2: Convert to fraction form
    12,189.82/18,284.74 = 4,790.24/x
  3. Step 3: Cross multiply
    12,189.82x = 18,284.74 × 4,790.24
  4. Step 4: Simplify right side
    12,189.82x = 87,588,258.11
  5. Step 5: Solve for x
    x = 87,588,258.11/12,189.82
  6. Step 6: Final answer
    x = 7,185.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.